4/211 divided by 102/2 in Fraction Form
The result of 4/211 divided by 102/2 is: 4/10761
Step-by-Step Solution
Step 1: Understand the Problem
We need to divide the fraction \(\frac4211\) by \(\frac1022\).
Step 2: Use the Division Rule
To divide fractions, we multiply by the reciprocal of the second fraction:
\(\frac4211 \div \frac1022 = \frac4211 \times \frac2102\)
Step 3: Multiply the Fractions
Multiply the numerators: 4 × 2 = 8
Multiply the denominators: 211 × 102 = 21522
Step 4: Simplify the Fraction
We can simplify \(\frac821522\) to its lowest form.
The greatest common divisor (GCD) of 8 and 21522 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac410761\).
Final Answer
The result of 4/211 divided by 102/2 is:
Understanding Fraction Division
How to Divide Fractions
To divide fractions, you multiply by the reciprocal of the divisor:
\( \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{ad}{bc} \)
This technique is often remembered as "keep, change, flip" - keep the first fraction, change division to multiplication, and flip the second fraction.
Why Simplify Fractions?
Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.
To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).
Fraction Calculator
Calculate operations between any two fractions: